| 维数约化的弱耦合KP-Boussinesq方程的lump解和有理解 |
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| 引用本文： | 刘,袁 汪一航.维数约化的弱耦合KP-Boussinesq方程的lump解和有理解[J].宁波大学学报(理工版),2021,0(5):43-48. |
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| 作者姓名： | 刘 袁 汪一航 |
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| 作者单位： | 宁波大学 数学与统计学院, 浙江 宁波 315211 |
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| 摘 要： | 利用Zm-KP方程族, 构造了一个新的弱耦合广义KP-Boussinesq方程. 基于Hirota双线性方法, 通过构造对称的半正定矩阵, 得到维数约化情形下的lump解和有理解, 并对其基本特征进行了研究. 另外, 通过对有理解的数值分析研究了其动力学性质.
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| 关 键 词： | 弱耦合广义KP-Boussinesq方程 双线性方程 lump解 有理解 数值分析 |
Lump and rational solutions to the dimensionally reduced weakly coupled KP-Boussinesq equation |
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| LIU Yuan,WANG Yihang.Lump and rational solutions to the dimensionally reduced weakly coupled KP-Boussinesq equation[J].Journal of Ningbo University(Natural Science and Engineering Edition),2021,0(5):43-48. |
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| Authors: | LIU Yuan WANG Yihang |
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| Affiliation: | School of Mathematics and Statistics, Ningbo University, Ningbo 315211, China |
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| Abstract: | By taking advantage of Zm-KP hierarchy, a new weakly coupled generalized KP–Boussinesq equation is constructed. Based on the Hirota bilinear method and constructions to the symmetric positive semi-definite matrix, the lump and rational solutions are obtained in the dimensionally reduced cases. Characteristics of solutions are also investigated. The dynamic properties of rational solutions are also derived using the numerical analysis. |
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| Keywords: | weakly coupled generalized KP-Boussinesq equation bilinear equations lump solutions rational solutions numerical analysis |
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